Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

sample165.0ms

Algorithm

intervals

Results

110.0ms	124×	body	1280	valid
31.0ms	71×	body	640	valid
9.0ms	30×	body	320	valid
4.0ms	256×	pre	80	true
3.0ms	22×	body	160	valid
1.0ms	9×	body	80	valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5257	9

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 61.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.8b	(log (- 1.0 x))
6.8b	(log (+ 1.0 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
9×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 69

Calls

3 calls:

5.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms	(log (- 1.0 x))
3.0ms	(log (+ 1.0 x))

series19.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms	(log (- 1.0 x))
3.0ms	(log (+ 1.0 x))

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5003	1101

prune149.0ms

Filtered

55 candidates to 78 candidates (-41.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	7	79

Merged error: 59.2b

Counts

79 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2)))
0.0b	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
0.0b	(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
6.8b	(log (- 1.0 x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
24×	`add-cbrt-cube`
18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`pow1`
12×	`times-frac`
9×	`prod-exp` `cbrt-unprod`
8×	`add-log-exp`
5×	`cbrt-undiv` `log-prod` `div-exp` `log-pow`
4×	`log-div` `associate-l/` `associate-/l`
3×	`associate-r` `pow-prod-down` `associate-/r*` `sum-log`
2×	`flip3--` `flip3-+` `div-sub` `associate-/r/` `flip--` `flip-+`
1×	`+-commutative` `frac-times` `associate-+r+` `frac-2neg` `associate-r/` `rem-log-exp` `associate-l` `clear-num` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

6.0ms	(+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2)))
8.0ms	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
10.0ms	(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
3.0ms	(log (- 1.0 x))

series21.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2)))
3.0ms	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
9.0ms	(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
5.0ms	(log (- 1.0 x))

simplify48.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4999	2100
1	4999	2100

prune203.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	106	5	111

Merged error: 0.1b

Counts

111 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))
0.0b	(+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2)))
0.0b	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
0.0b	(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
24×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `times-frac`
13×	`pow1`
10×	`add-log-exp`
9×	`prod-exp` `cbrt-unprod`
8×	`distribute-lft-out`
5×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`associate-*l/` `log-pow`
3×	`flip3-+` `associate-r` `pow-prod-down` `associate-/r*` `sum-log` `flip-+`
2×	`associate-/r/` `associate-/l/`
1×	`+-commutative` `frac-times` `associate-+r-` `sub-neg` `associate-+r+` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-r/` `associate-l` `clear-num` `-commutative` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

8.0ms	(- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))
6.0ms	(+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2)))
8.0ms	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
15.0ms	(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

series20.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))
4.0ms	(+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2)))
3.0ms	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
8.0ms	(/ (+ (log 1.0) (- (* x (/ (* x (/ -1/2 1.0)) 1.0)) (* 1.0 x))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

simplify63.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4958	2429
1	4958	2429

prune268.0ms

Filtered

70 candidates to 104 candidates (-48.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	103	6	109

Merged error: 0.0b

Counts

109 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0)))) 3))
0.0b	(* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))
0.0b	(/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0))))
0.0b	(pow (/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0)))) 3)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
45×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r/`
7×	`pow1`
6×	`flip3-+` `flip-+`
5×	`div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `sub-neg` `unpow3` `associate-*r/` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

7.0ms	(cbrt (pow (/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0)))) 3))
10.0ms	(* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))
7.0ms	(/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0))))
8.0ms	(pow (/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0)))) 3)

series32.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (pow (/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0)))) 3))
6.0ms	(* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))
10.0ms	(/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0))))
9.0ms	(pow (/ (+ (log 1.0) (* x (- (* (/ -1/2 1.0) (/ x 1.0)) 1.0))) (+ (log 1.0) (* x (+ (* (/ -1/2 1.0) (/ x 1.0)) 1.0)))) 3)

simplify59.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5058	6164

prune373.0ms

Filtered

98 candidates to 161 candidates (-64.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	161	6	167

Merged error: 0.0b

Counts

167 → 6

regimes74.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	33
1	50	33

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.1s	3358×	body	1280	valid
1.1s	2518×	body	640	valid
284.0ms	1231×	body	320	valid
137.0ms	8000×	pre	80	true
87.0ms	647×	body	160	valid
14.0ms	246×	body	80	valid

Details

analyze1.3s

sample165.0ms

simplify58.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series19.0ms

simplify41.0ms

prune149.0ms

localize11.0ms

rewrite30.0ms

series21.0ms

simplify48.0ms

prune203.0ms

localize15.0ms

rewrite40.0ms

series20.0ms

simplify63.0ms

prune268.0ms

localize14.0ms

rewrite36.0ms

series32.0ms

simplify59.0ms

prune373.0ms

regimes74.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.8s

Profiling